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Corner solutions of the Laplace-Young equation

Abstract:

The upper free surface z = u(x, y) of a static fluid with gravity acting in the z direction, occupying a volume V, satisfies the Laplace-Young equation. The fluid wets the vertical boundaries of V so that the usual capillary contact conditions hold. This paper considers wedge-shaped volumes V with corner angle 2α, that belong to the intermediate corner angle case of π/2 - γ < α < π/2, where γ is the contact angle and determines explicitly a regular power series expansion for the height ...

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Publication status:
Published

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Publisher copy:
10.1093/qjmamj/hbh020

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS More from this journal
Volume:
58
Issue:
1
Pages:
55-71
Publication date:
2005-02-01
DOI:
EISSN:
1464-3855
ISSN:
0033-5614
Language:
English
Pubs id:
pubs:29407
UUID:
uuid:e95a9bf6-8b7a-41cc-86f4-0ef24eee427e
Local pid:
pubs:29407
Source identifiers:
29407
Deposit date:
2012-12-19

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